# How do you simplify (36mn^3)/(24m^2n^5)?

May 27, 2015

Answer: $\frac{3}{2 m {n}^{2}}$

Working:

First, simplify $\frac{36}{24}$:

Divide both the numerator and the denominator by 12 :
$= \frac{3}{2}$

Rule : We know that ${m}^{x} \div {m}^{y} = {m}^{x - y}$

So;

$\frac{3}{2} {m}^{\left(1 - 2\right)} {n}^{\left(3 - 5\right)} = \frac{3}{2} {m}^{- 1} {n}^{- 2}$

= $\frac{3}{2 m {n}^{2}}$